Quantum gates by periodic driving
arXiv:1505.04863 · doi:10.1038/srep22077
Abstract
Topological quantum computation has been extensively studied due to its robustness against decoherence. A conventional way to realize it is by adiabatic operations---it requires relatively long time to accomplish so that the speed of quantum computation slows down. In this work, we present a method to realize topological quantum computation by periodic driving. Compared to the adiabatic evolution, the total operation time can be regulated arbitrarily by the amplitude and frequency of the periodic driving. For the sinusoidal driving, we give an expression for the total operation time in the high-frequency limit. For the square wave driving, we derive an exact analytical expression for the evolution operator without any approximations, and show that the amplitude and frequency of driving field depend on its period and total operation time. This could provide a new direction in regulations of the operation time in topological quantum computation.
9 pages, 10 figures
References in corpus (22)
- Non-Abelian Anyons and Topological Quantum Computation
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Photovoltaic Hall effect in graphene
- Topological characterization of periodically-driven quantum systems
- Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
- Measurement-Only Topological Quantum Computation
- Majorana qubit decoherence by quasiparticle poisoning
- Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
- Multiterminal Conductance of a Floquet Topological Insulator
- Modulated Floquet Topological Insulators
- Quantum computation on the edge of a symmetry-protected topological order
- Floquet engineering of long-range p-wave superconductivity
- Shortcuts to nonabelian braiding
- Stückelberg interference in a superconducting qubit under periodic latching modulation
- Using hybrid topological-spin qubit systems for two-qubit-spin gates
- Tunable Floquet Majorana Fermions in Driven Coupled Quantum Dots
- Hybrid Topological Quantum Computation with Majorana Fermions: A Cold Atom Setup
- Robust interface between flying and topological qubits